Houria Adjal, Mohand Moussaoui, Abdelmalek Zine
Abstract:
The Stokes problem is fundamental in the study of fluid flows.
In the case of smooth domains and data, this problem is extensively
studied in the literature. But there are only a few
results for non-smooth boundary data.
In [13], there are some promising results in the
2 dimensional case. The aim of this work is to extend those
results to a polyhedron domain with non-regular data.
Submitted October 24, 2016. Published June 22, 2017.
Math Subject Classifications: 35Q35, 76B03, 76N10.
Key Words: Stokes system; polyhedron; non smooth boundary data;
existence and regularity.
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| Houria Adjal Laboratoire d'Analyse Non Linéaire et Histoire des Maths E.N.S, B.P. 92 Vieux Kouba 16050 Algiers, Algeria email: houria.adjal@yahoo.com | |
| Mohand Moussaoui Laboratoire d'Analyse Non Linéaire et Histoire des Maths E.N.S, B.P. 92 Vieux Kouba 16050 Algiers, Algeria email: mmohand47@gmail.com | |
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Abdelmalek Zine Univ. Lyon, Institut Camille Jordan Ecole centrale de Lyon 36 avenue Guy de Collonge, 69134 Ecully, France email: abdel-malek.zine@ec-lyon.fr |
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